Let's analyze the given chemical reaction:
[tex]\[ \text{NaC} + \text{ANO}_3 \rightarrow \text{NaNO}_3 + \text{AgCl} \][/tex]
We'll break down each term and see which type of reaction this represents.
1. Synthesis Reaction: This occurs when two or more simple substances combine to form a more complex product.
[tex]\[ A + B \rightarrow AB \][/tex]
Clearly, this is not what we observe here, as we have two reactants producing two different products.
2. Decomposition Reaction: This occurs when a more complex substance breaks down into its more simple components.
[tex]\[ AB \rightarrow A + B \][/tex]
Again, this is not fitting our scenario, because our reactants are combining to form two different products, not breaking down from a single compound.
3. Oxidation Reaction: This involves the transfer of electrons between two species. A substance gains oxygen or loses hydrogen (oxidation), and another substance loses oxygen or gains hydrogen (reduction). It is part of a broader set of redox reactions.
[tex]\[ \text{Not obviously shown in this format, as redox reactions involve changes in oxidation states and electron exchange, which are not apparent here.} \][/tex]
Hence, there's no clear indication of an electron exchange involving oxidation or reduction from the given reaction.
4. Replacement (Displacement) Reaction: This occurs when one element replaces another in a compound.
[tex]\[ A + BC \rightarrow AC + B \][/tex]
Looking at our reaction:
[tex]\[ \text{NaC} + \text{ANO}_3 \rightarrow \text{NaNO}_3 + \text{AgCl} \][/tex]
We can see that the sodium (Na) is replacing the A in [tex]\(\text{ANO}_3\)[/tex] to form [tex]\(\text{NaNO}_3\)[/tex], and the displaced A pairs with C to form [tex]\(\text{AgCl}\)[/tex].
Thus, the given reaction fits the pattern of a replacement reaction.
So, the reaction type is a replacement reaction.
Therefore, the type of reaction is:
[tex]\[ \boxed{replacement} \][/tex]
